Blackwell Sufficiency and Fuzzy Experiments

Wünsche, Andreas

doi:10.1007/978-3-7908-1773-7_23

Andreas Wünsche⁴

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 16))

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Abstract

Blackwell sufficiency is an accepted instrument for comparison of random experiments.In this paper we discuss, whether Blackwell sufficiency is a suitable instrument to characterize fuzziness and nonspecificity of experiments. The answer will be: Yes in special cases, no in general.

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References

D. A. Blackwell (1951). Comparison of experiments. Proc. 2nd Berkeley Symp. on Math.Statist. Prob., pages 93–102. University of Colifornia Press, Berkeley.
Google Scholar
D. A. Blackwell (1953). Equivalent comparisons of experiments. Ann. Math. Statist.24: 265–272.
Article MathSciNet MATH Google Scholar
Joel E. Cohen and J.H.B. Kemperman and Gh. Zbäganu (1998). Comparison of stochastic matrices Birkhäuser.
Google Scholar
M. A. Gil (1992). Sufficiency and fuzziness in random experiments. Ann. Inst. Statist. Math.44 (3): 451–462.
MathSciNet MATH Google Scholar
G.J. Klir and T.A. Folger (1988). Fuzzy sets, uncertainty, and information. Englewood Cliffs, NJ: Prentice Hall.
MATH Google Scholar
R. Kruse and K.D. Meyer (1987). Statistics with Vague Data. Dordrecht: Reidel.
Book MATH Google Scholar
W. Näther and A. Wünsche, Blackwell sufficiency and fuzzy experiments. accepted for puplication in Fuzzy Sets and Systems
Google Scholar
M.L. Puri and D.A. Ralescu (1986). Fuzzy random variables. J. Math. Anal. Appl.114: 409–422.
Article MathSciNet MATH Google Scholar
R.Körner and W.Näther (1995). On the specificity of evidences. Fuzzy sets and systems. 71: 183–196.
Article MathSciNet MATH Google Scholar
G. Shafer (1976). Amathematical theory of evidence. Princeton-London: Princenton University Press.
Google Scholar
Erik Torgersen (1991). Comparison of Statistical Experiments.Cambridge University Press.
Book MATH Google Scholar
L.A. Zadeh (1968). Probability measures of fuzzy events. J. Math. Anal. Appl.23: 421–427.
Article MathSciNet MATH Google Scholar

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Authors and Affiliations

Faculty of Mathematics and Computer Science, Freiberg University of Mining and Technology, Agricolastr. 1, 09596, Freiberg, Germany
Andreas Wünsche

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Andreas Wünsche
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Editors and Affiliations

Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447, Warsaw, Poland
Przemysław Grzegorzewski & Olgierd Hryniewicz &
Facultad de Ciencias, Departamento de Estadística e I.O. y D.M., Universidad de Oviedo, C/Calvo Sotelo, s/n, 33007, Oviedo, Spain
María Ángeles Gil

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Wünsche, A. (2002). Blackwell Sufficiency and Fuzzy Experiments. In: Grzegorzewski, P., Hryniewicz, O., Gil, M.Á. (eds) Soft Methods in Probability, Statistics and Data Analysis. Advances in Intelligent and Soft Computing, vol 16. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1773-7_23

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DOI: https://doi.org/10.1007/978-3-7908-1773-7_23
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-1526-9
Online ISBN: 978-3-7908-1773-7
eBook Packages: Springer Book Archive

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